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Parametric Resonance in Dynamical Systems

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  • © 2012

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Overview

Editors:
  1. Thor I. Fossen

    1. , Department of Engineering Cybernetics, Norwegian University of Science and Tech, Trondheim, Norway

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  2. Henk Nijmeijer

    1. Dynamics and Control Group, Techn. Univ. Eindhoven, Eindhoven, The Netherlands

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    You can also search for this editor in PubMed   Google Scholar

  • Presents the theory and principles behind parametric resonance
  • Provides a unique collection of the different fields where parametric resonance appears including ships and offshore structures, automotive vehicles and mechanical systems
  • Discusses ways to combat, cope with and prevent parametric resonance including passive design measures and active control methods
  • Includes supplementary material: sn.pub/extras

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About this book

Parametric Resonance in Dynamical Systems discusses the phenomenon of parametric resonance and its occurrence in mechanical systems, vehicles, motorcycles, aircraft and marine craft, along micro-electro-mechanical systems. The contributors provides an introduction to the root causes of this phenomenon and its mathematical equivalent, the Mathieu-Hill equation. Also included is a discussion of how parametric resonance occurs on ships and offshore systems, and its frequency in mechanical and electrical systems. This volume is ideal for researchers and mechanical engineers working in application fields such as MEMS, maritime, aircraft and ground vehicle engineering.

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-xiii
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  2. An Introduction to Parametric Resonance

    • Jonatan Peña-Ramírez, Rob H. B. Fey, Henk Nijmeijer
    Pages 1-13
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  3. Detection and Estimation of Parametric Resonance

    1. Front Matter

      Pages 15-15
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    2. Detection of Parametric Roll for Ships

      • Roberto Galeazzi, Mogens Blanke, Niels K. Poulsen
      Pages 17-43
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    3. Estimation of Parametric Roll in Random Seaways

      • Naoya Umeda, Hirotada Hashimoto, Izumi Tsukamoto, Yasuhiro Sogawa
      Pages 45-59
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  4. Parametric Roll

    1. Front Matter

      Pages 61-61
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    2. Trimaran Vessels and Parametric Roll

      • Gabriele Bulian, Alberto Francescutto
      Pages 63-89
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    3. Probability of Parametric Roll in Random Seaways

      • Jørgen Juncher Jensen
      Pages 91-105
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    4. Domains of Parametric Roll Amplification for Different Hull Forms

      • Claudio A. Rodríguez, Marcelo A. S. Neves
      Pages 107-127
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    5. Probabilistic Properties of Parametric Roll

      • Vadim Belenky, Kenneth Weems
      Pages 129-145
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    6. Experience from Parametric Rolling of Ships

      • Anders Rosén, Mikael Huss, Mikael Palmquist
      Pages 147-165
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    7. Ship Model for Parametric Roll Incorporating the Effects of Time-Varying Speed

      • Dominik A. Breu, Christian Holden, Thor I. Fossen
      Pages 167-189
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  5. Control of Parametric Resonance in Ships

    1. Front Matter

      Pages 191-191
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    2. Frequency Detuning Control by Doppler Shift

      • Christian Holden, Dominik A. Breu, Thor I. Fossen
      Pages 193-212
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    3. Optimal Speed and Heading Control for Stabilization of Parametric Oscillations in Ships

      • Dominik A. Breu, Le Feng, Thor I. Fossen
      Pages 213-238
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    4. A U-Tank Control System for Ships in Parametric Roll Resonance

      • Christian Holden, Thor I. Fossen
      Pages 239-263
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  6. Control of Parametric Resonance in Mechanical Systems

    1. Front Matter

      Pages 265-265
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    2. Parametric and Direct Resonances in a Base-Excited Beam Carrying a Top Mass

      • Rob H. B. Fey, Niels J. Mallon, C. Stefan Kraaij, Henk Nijmeijer
      Pages 267-285
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    3. A Study of the Onset and Stabilization of Parametric Roll by Using an Electro-Mechanical Device

      • Jonatan Peña-Ramírez, Henk Nijmeijer
      Pages 287-304
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    4. Controlling Parametric Resonance: Induction and Stabilization of Unstable Motions

      • Roberto Galeazzi, Kristin Y. Pettersen
      Pages 305-327
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Editors and Affiliations

  • , Department of Engineering Cybernetics, Norwegian University of Science and Tech, Trondheim, Norway

    Thor I. Fossen

  • Dynamics and Control Group, Techn. Univ. Eindhoven, Eindhoven, The Netherlands

    Henk Nijmeijer

Bibliographic Information

  • Book Title: Parametric Resonance in Dynamical Systems

  • Editors: Thor I. Fossen, Henk Nijmeijer

  • DOI: https://doi.org/10.1007/978-1-4614-1043-0

  • Publisher: Springer New York, NY

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer Science+Business Media, LLC 2012

  • Hardcover ISBN: 978-1-4614-1042-3Published: 13 December 2011

  • Softcover ISBN: 978-1-4899-9642-8Published: 03 March 2014

  • eBook ISBN: 978-1-4614-1043-0Published: 14 December 2011

  • Edition Number: 1

  • Number of Pages: XIV, 330

  • Topics: Vibration, Dynamical Systems, Control, Systems Theory, Control, Control and Systems Theory

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